The magnetic excitation spectra of Kondo insulators, is examined in th
e vicinity of a magnetic transition. The Kondo insulators are modeled
by the Anderson Lattice Hamiltonian, which has a hybridization gap bet
ween the bands in the quasi-particle dispersion relations. At precisel
y half-filling, the system becomes an indirect gap semiconductor. The
spectrum of magnetic excitations contains contributions from spin-flip
electron-hole excitations which form a continuum above a threshold en
ergy, and a contribution from collective excitations. The spectrum of
collective excitations softens at the magnetic instability. For ferrom
agnetic systems, the magnetic instability is accompanied by an exchang
e splitting which if sufficiently large can drive the system from the
insulating state to a metallic state. The theory is applied to UNiSn.
(C) 1998 Published by Elsevier Science B.V. All rights reserved.